| Original Articles |
|
|
|
|
Bessel-Modal Method for Finite-Height Two-Dimensional Photonic Crystal |
| SHI Jun-Feng;HUANG Sheng-Ye;WANG Dong-Sheng |
| State Key Laboratory of Precision Measurement Technology and Instrument, Tsinghua University, Beijing 100084 |
|
| Cite this article: |
|
SHI Jun-Feng, HUANG Sheng-Ye, WANG Dong-Sheng 2005 Chin. Phys. Lett. 22 1937-1940 |
|
|
|
|
Abstract By applying the dyadic Green function, the dispersion relation of two-dimensional photonic crystal can be expressed as the cylindrical wave expansions of eigenmodes. With the aid of Green’s theorem, the plane-wave coefficients of eigenmodes are reconstructed and employed to formulate the scattering matrix of finite-height two-dimensional photonic crystal. These operations make the convergence rate very rapid, and reduce the dimension of the scattering matrix. As a demonstration, we present the transmission and electromagnetic field distributions for an InGaAsIn photonic crystal, and investigate their convergence.
|
| Keywords:
42.70.Qs
42.25.-p
78.20.-e
|
|
|
Published: 01 August 2005
|
|
| PACS: |
42.70.Qs
|
(Photonic bandgap materials)
|
| |
42.25.-p
|
(Wave optics)
|
| |
78.20.-e
|
(Optical properties of bulk materials and thin films)
|
|
|
|
|
|
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|
